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Simplifying -4k + -18 = -2 + 2(7k + -8) Reorder the terms: -18 + -4k = -2 + 2(7k + -8) Reorder the terms: -18 + -4k = -2 + 2(-8 + 7k) -18 + -4k = -2 + (-8 * 2 + 7k * 2) -18 + -4k = -2 + (-16 + 14k) Combine like terms: -2 + -16 = -18 -18 + -4k = -18 + 14k Add '18' to each side of the equation. -18 + 18 + -4k = -18 + 18 + 14k Combine like terms: -18 + 18 = 0 0 + -4k = -18 + 18 + 14k -4k = -18 + 18 + 14k Combine like terms: -18 + 18 = 0 -4k = 0 + 14k -4k = 14k Solving -4k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -4k + -14k = 14k + -14k Combine like terms: -4k + -14k = -18k -18k = 14k + -14k Combine like terms: 14k + -14k = 0 -18k = 0 Divide each side by '-18'. k = 0 Simplifying k = 0
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